A351361 - OEIS

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A351361

Number of binary necklaces with n beads and at least four consecutive black beads.

7

0, 0, 0, 1, 2, 3, 5, 9, 17, 33, 63, 124, 241, 475, 930, 1831, 3593, 7077, 13905, 27377, 53847, 106006, 208601, 410723, 808514, 1592123, 3135085, 6174695, 12161761, 23957945, 47198847, 92997768, 183253045, 361145269, 711793554, 1403055509, 2765913617

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,5

LINKS

Table of n, a(n) for n=1..37.

Marko R. Riedel et al., Necklaces made of black and white beads, Math StackExchange, Feb 2022.

FORMULA

a(n) = A000031(n) - A280218(n).

CROSSREFS

Cf. A351356, A351357, A351358, A351359, A351360.

Sequence in context: A080889 A049858 A092483 * A324767 A005257 A091697

Adjacent sequences: A351358 A351359 A351360 * A351362 A351363 A351364

KEYWORD

nonn

AUTHOR

Marko Riedel, Feb 08 2022

STATUS

approved